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Simplifying 3x + 16 = 5(x + 4) + 2 Reorder the terms: 16 + 3x = 5(x + 4) + 2 Reorder the terms: 16 + 3x = 5(4 + x) + 2 16 + 3x = (4 * 5 + x * 5) + 2 16 + 3x = (20 + 5x) + 2 Reorder the terms: 16 + 3x = 20 + 2 + 5x Combine like terms: 20 + 2 = 22 16 + 3x = 22 + 5x Solving 16 + 3x = 22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 16 + 3x + -5x = 22 + 5x + -5x Combine like terms: 3x + -5x = -2x 16 + -2x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + -2x = 22 + 0 16 + -2x = 22 Add '-16' to each side of the equation. 16 + -16 + -2x = 22 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = 22 + -16 -2x = 22 + -16 Combine like terms: 22 + -16 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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